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40280820 = 223517223101
BaseRepresentation
bin1001100110101…
…0001011110100
32210210110220020
42121222023310
540302441240
63555205140
7666244536
oct231521364
983713806
1040280820
1120812638
12115a67b0
138464608
1454c7856
15380a0d0
hex266a2f4

40280820 has 144 divisors (see below), whose sum is σ = 126258048. Its totient is φ = 9574400.

The previous prime is 40280791. The next prime is 40280831. The reversal of 40280820 is 2808204.

40280820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398770 + ... + 398870.

It is an arithmetic number, because the mean of its divisors is an integer number (876792).

Almost surely, 240280820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40280820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63129024).

40280820 is an abundant number, since it is smaller than the sum of its proper divisors (85977228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40280820 is a wasteful number, since it uses less digits than its factorization.

40280820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40280820 is about 6346.7172617031. The cubic root of 40280820 is about 342.7936494528.

The spelling of 40280820 in words is "forty million, two hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 101 102 115 138 170 202 204 230 255 276 289 303 340 345 391 404 460 505 510 578 606 690 782 867 1010 1020 1156 1173 1212 1380 1445 1515 1564 1717 1734 1955 2020 2323 2346 2890 3030 3434 3468 3910 4335 4646 4692 5151 5780 5865 6060 6647 6868 6969 7820 8585 8670 9292 10302 11615 11730 13294 13938 17170 17340 19941 20604 23230 23460 25755 26588 27876 29189 33235 34340 34845 39491 39882 46460 51510 58378 66470 69690 78982 79764 87567 99705 103020 116756 118473 132940 139380 145945 157964 175134 197455 199410 236946 291890 350268 394910 398820 437835 473892 583780 592365 671347 789820 875670 1184730 1342694 1751340 2014041 2369460 2685388 3356735 4028082 6713470 8056164 10070205 13426940 20140410 40280820